List of top Quantitative Ability and Data Interpretation Questions on Time and Work asked in CMAT

Given below are two statements:
Statement I: Ram and Shyam can finish a task by working together in 6 days. If Shyam can finish the task by working alone in 8 days, then Ram alone will take 24 days to finish it.
Statement II: If 6 persons working 8 hours a day earn 8,400 per week, then 9 person working 6 hours a day will eam 9,450 per week.
In the light of the above statements, choose the correct answer from the options given below:

3 men and 18 women together take 2 days to complete a piece of work.How many days will 9 women alone take to complete the piece of work,if 6 men alone can complete the piece of work in 3 days?

Three pipes P, Q and R can fill a tank in 6 hours. After working at it together for 2 hours, R is closed and both P and Q can fill the remaining part in 7 hours. The number of hours that will be taken by R alone to fill the tank is

Four sheep farmers rented a pasture, Anil grazed his 24 sheep for 3 months, Bimal 10 sheep for 5 months, Champak 35 sheep for 4 months and Damodar 21 sheep for 3 months,. If Anil’s share of rent is Rs. 720, find the total rent of the pasture:

One pipe can fill a tank three times as fast as another pipe. If the two pipes together can fill the tank in 36 minutes,then the slower pipe will take how much time to fill the tank alone?

L and M together can complete a piece of work in 72 days, M and N together can complete it in 120 days, and L and N together in 90 days. In what time can L alone complete the work?

Two pipes A and B can fill a tank in 5 hours and 20 hours respectively. Both pipes together can fill the same tank in:

The work done by a man, woman and a child are in the ratio 3:2:1. If daily wages of 20 men, 30 women and 36 children amount to 78/-, what will be the wages of 15 men, 21 women and 30 children for 18 weeks?

A city has an average demand of water of 33,000 Lts. of water which lasts for 50 days. But if some people enter the city, then the demand increases to 37,000 Lts. of water for which supply will lasts 35 days. Give an estimation of how much minimum water should be used daily so that it could last 50 days?

Rajesh can check the quality of 1000 items in 5 hours and Rakesh can complete 75\(\%\) of the same job in 3 hours. How much time is required for both of them to check 1300 items, if Rakesh stops checking after 2 hours ?